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Finding the Fourth Proportional to 391.13, 584.93 and 298.61

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Solution

The fourth proportional to 391.13, 584.93 and 298.61 is: 446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.13 : 584.93 = 298.61 : x
  2. Step 2: Convert to fraction form
    391.13/584.93 = 298.61/x
  3. Step 3: Cross multiply
    391.13x = 584.93 × 298.61
  4. Step 4: Simplify right side
    391.13x = 174,661.53
  5. Step 5: Solve for x
    x = 174,661.53/391.13
  6. Step 6: Final answer
    x = 446.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.